# we-solve referenced research prompt v2 { "schema": "we-solve.research-prompt-codec.v2", "instructions": "The template contains all rules and the output form. Join parts in order: strings are literal context; integers select template fragments. Then read the quoted source URL in that text. The copy button assembles the full prompt.", "template_url": "https://we-solve.github.io/prompts/templates/5035f52faf49f145e05ba8a2aa4eb22369997f2d88c875bc307955da41f0ffea.txt", "parts": [ "", 3, "https://we-solve.github.io/problems/scalar-curvature-question-28-for-instance-letx-be-homomorphic-to-cp-2-and-letvol-u-s-2-for-allt-x-non-spin-surfacess-x-a/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_b7a1f17e2c286d21dfc2a3fc7b34dc108743ca41a34ba5551a0fd15ba3c4890b]]\n", 2, "\n\n# we-solve research prompt: Math-13065, Scalar Curvature Question [?28]: For instance, letX be homomorphic to CP 2 and letvol(Uδ(S)) ≥δ2 for allT(X)-non-spin surfacesS ⊂X and 0<δ ≤1\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-28-for-instance-letx-be-homomorphic-to-cp-2-and-letvol-u-s-2-for-allt-x-non-spin-surfacess-x-a/).\n\n", 0, "[[WE_SOLVE_STATEMENT_b7a1f17e2c286d21dfc2a3fc7b34dc108743ca41a34ba5551a0fd15ba3c4890b]]\n>>>\n", 5, "- None yet.\n", 4, "prb_38de9cd8e6c349019edd11ddf606ff87", 1, "" ] }